Solve the problem.In 1990, the population of a country was estimated at 4 million. For any subsequent year the population, P(t) (in millions), can be modeled by the equation 
where t is the number of years since 1990. Estimate the year when the population will be 21 million.
A. approximately the year 2041
B. approximately the year 2088
C. approximately the year 2016
D. approximately the year 2093
Answer: D
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Solve the problem.A chemistry lab uses the liquid solvents listed below. Once the chemicals have been used, they are poured into appropriate waste containers. However, certain of these chemicals cannot be mixed without causing violent reactions. The table indicates which chemical pairs are incompatible. Determine the minimum number of waste disposal containers needed to store the waste solvents safely, and give a list of the chemicals that are to be stored in each container. 
A. Container 1: acetone, acetonitrile, benzene, cyclopentane, and toluene ; Container 2: ethanol and methanol; Container 3: acetic anhydride ; Container 4: hydrogen peroxide B. Container 1: acetone, acetonitrile, benzene, cyclopentane, and toluene ; Container 2: ethanol and methanol; Container 3: acetic anhydride and hydrogen peroxide C. Container 1: acetone, acetonitrile, benzene, cyclopentane, ethanol, methanol, and toluene ; Container 2: acetic anhydride and hydrogen peroxide D. Container 1: acetone, acetonitrile, benzene, cyclopentane, ethanol, methanol, and toluene ; Container 2: acetic anhydride ; Container 3: hydrogen peroxide
Factor by grouping.8a3 - 20a2b + 10ab2 - 25b3
A. (8a2 + 5b2)(a - 5b) B. (4a2 + 5b)(2a - 5b) C. (4a2 - 5b2)(2a + 5b) D. (4a2 + 5b2)(2a - 5b)
Use the boundedness theorem to determine whether the polynomial function satisfies the given condition.The polynomial f(x) = x4 - x3 + 2x2 - 4x - 10 has no real zero greater than 3.
A. Yes, the boundedness theorem shows that the polynomial has no real zero greater than 3. B. No, the boundedness theorem does not show that the polynomial has no real zero greater than 3.
Solve the problem.The owner of a video store has determined that the average daily cost, in dollars, of operating the store is given by 
where x is the number of videos rented. Find the cost at the vertex of the parabola (the minimum cost). Round your answer to the nearest dollar.
A. $380 B. $630 C. $480 D. $530